2012/05/28 by Robert G. Leigh, Anastasios C. Petkou, P. Marios Petropoulos
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Closed timelike curve #Geometric Analysis and Curvature Flows #Holography #Interpretation (philosophy) #Lorentz transformation #Transformation (genetics) #Viscosity #Vortex #Vorticity #Vorticity equation #hep-th
paper · pdf · doi:10.1007/jhep11(2012)121
arxiv created 2012/05/28 · openalex publication_date 2012/11/01 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A bstract We study holographic three-dimensional fluids with vorticity in local equilibrium and discuss their relevance to analogue gravity systems. The Fefferman-Graham expansion leads to the fluid’s description in terms of a comoving and rotating Papapetrou- Randers frame. A suitable Lorentz transformation brings the fluid to the non-inertial Zermelo frame, which clarifies its interpretation as moving media for light/sound propagation. We apply our general results to the Lorentzian Kerr-AdS 4 and Taub-NUT-AdS 4 geometries that describe fluids in cyclonic and vortex flows respectively. In the latter case we associate the appearance of closed timelike curves to analogue optical horizons. In addition, we derive the classical rotational Hall viscosity of three-dimensional fluids with vorticity. Our formula remarkably resembles the corresponding result in magnetized plasmas.